Αποτελέσματα Αναζήτησης
In the points z=2 pnä’m’;n˛Zìm˛Z, the values of the hyperbolic functions are algebraic. In several cases, they can even be rational numbers, 1, or ä (e.g. sinhHpä’2L=ä, sechH0L=1, or coshHpä’3L=1’2). They can be expressed using only square roots if n˛Z and m is a product of a power of 2 and distinct Fermat primes {3, 5, 17 ...
If x = sinh y, then y = sinh-1 a is called the inverse hyperbolic sine of x. Similarly we define the other inverse hyperbolic functions. The inverse hyperbolic functions are multiple-valued and as in the case of inverse trigonometric functions we restrict ourselves to principal values for which they can be considered as single-valued.
The hyperbolic sine function, \sinh x, is one-to-one, and therefore has a well-defined inverse, \sinh^{-1} x, shown in blue in the figure. In order to invert the hyperbolic cosine function, however, we need (as with square root) to restrict its domain.
Our hyperbolic functions calculator can also find the values of inverse hyperbolic functions. All you have to do is input the value of one of the functions (for example, sinh x \sinh x sinh x or tanh x \tanh x tanh x), and this tool will automatically return the value of x x x. The formulas used to compute inverse hyperbolic functions ...
cosh (l+i)Ip, sinh l+i @ , (l+i)$P. si* (l+i)p. This report contains tables which give the real and imaginary parts for each of these functions along with their first and second differences for values of p from 0.00 to 4.99 in steps of 0.01. Nomenclature f(v) 9 = variable in radians = tabulated functions of
Omni's hyperbolic sine calculator is very straightforward to use: just enter the argument x, and the value of sinh(x) will appear immediately! And you can calculate inverse sinh as well! Just fill in the field sinh(x), and the value that appears as x is exactly the value of the inverse function. And this is not all!
sinh z 3F01,1, 3 2;; z2 ’;H€z⁄fi¥L 06.39.06.0006.01 ShiHzLµ-p-z2 2z + cosh HzL z 1+O 1 z 2 + sinh z2 1+O z ’;H€z⁄fi¥L Residue representations 06.39.06.0007.01 ShiHzL− p 4 zâ j=0 ¥ ress GJ1 2-sN J-z 2 4 N-s GJ3 2-sN 2 GHsL H-jL 06.39.06.0008.01 ShiHzL−-ä 2 pâ j=0 ¥ ress GH-sL Jäz 2 N-2 s GH1-sL2 Gs+ 1 2,:s,-1 2-j ...
